Zero dissipation and stability of shocks
Zero dissipation and stability of shocks
We study the nonlinear stability of viscous shock waves in the process of vanishing viscosity parameters.We reason with the conservation laws and the time-asymptotic states that the two types of non-classical shocks, overcompressive and undercompressive shocks, are nonlinearly stable in different senses.For overcompressive shock waves, the time-asymptotic state depends on …